- Physical Review Journals
All JournalsPhysics Magazine
Access Provided by Xinjiang University

Physical Review Fluids

Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

Gas-assisted discharge flow of granular media from silos

Y. Zhou1,2,*, P.-Y. Lagrée3, S. Popinet3, P. Ruyer1, and P. Aussillous2,†

  • 1Institut de Radioprotection et de Sûreté Nucléaire (IRSN), PSN-RES, SEMIA, LIMAR, Cadarache, Saint Paul-Lez-Durance 13115, France
  • 2Aix-Marseille Université, CNRS, IUSTI, Marseille 13013, France
  • 3Sorbonne Université, CNRS UMR 7190, Institut Jean le Rond ∂'Alembert, F-75005 Paris, France

  • *Present address: Beijing Key Laboratory of Passive Safety Technology for Nuclear Energy, North China Electric Power University, Beijing 102206, China.
  • †pascale.aussillous@univ-amu.fr
PDF

Phys. Rev. Fluids 4, 124305 – Published 18 December, 2019

DOI: https://doi.org/10.1103/PhysRevFluids.4.124305

Abstract

We studied experimentally the discharge of a vertical silo filled by spherical glass beads and assisted by injection of air from the top at a constant flow rate, a situation which has practical interest for nuclear safety or air-assisted discharge of hoppers. The measured parameters are the mass flow rate and the pressure along the silo, while the controlled parameters are the size of particles and the flow rate of air. Increasing the air flow rate induces an increase in the granular media flow rate. Using a two-phase continuum model with a frictional rheology to describe particle-particle interactions, we reveal the role played by the air-pressure gradient at the orifice. Based on this observation, we propose a simple analytical model which predicts the mass flow rate of a granular media discharged from a silo with injection of gas. This model takes into account the coupling with the gas flow as well as the silo geometry, position, and size of the orifice.

View figure in article

Physics Subject Headings (PhySH)

Article Text

References (31)

  1. P. Jop, Y. Forterre, and O. Pouliquen, A constitutive law for dense granular flows, Nature (London) 441, 727 (2006).
  2. P.-Y. Lagrée, L. Staron, and S. Popinet, The granular column collapse as a continuum: Validity of a two-dimensional Navier-Stokes model with a μ(I)-rheology, J. Fluid Mech. 686, 378 (2011).
  3. L. Staron, P.-Y. Lagrée, and S. Popinet, Continuum simulation of the discharge of the granular silo, Eur. Phys. J. E 37, 5 (2014).
  4. S. Dunatunga and K. Kamrin, Continuum modeling and simulation of granular flows through their many phases, J. Fluid Mech. 779, 483 (2015).
  5. G. Davier and F. Bertails-Descoubes, Nonsmooth simulation of dense granular flows with pressure-dependent yield stress, J. Non-Newton Fluid Mech. 234, 15 (2016).
  6. Y. Zhou, P. Y. Lagrée, S. Popinet, P. Ruyer, and P. Aussillous, Experiments on, and discrete and continuum simulations of, the discharge of granular media from silos with a lateral orifice, J. Fluid Mech. 829, 459 (2017).
  7. M. Ishikawa and S. Shiozawa, A study of fuel behavior under reactivity initiated accident conditons - Review, J. Nucl. Mater. 95, 1 (1980).
  8. B. P. Tighe and M. Sperl, Pressure and motion of dry sand: Translation of Hagen's paper from 1852, Granul. Matt. 9, 141 (2007).
  9. W. A. Beverloo, H. A. Leniger, and J. Van de Velde, The flow of granular solids through orifices, Chem. Eng. Sci. 15, 260 (1961).
  10. A. Janda, I. Zuriguel, and D. Maza, Flow Rate of Particles Through Apertures Obtained from Self-Similar Density and Velocity Profiles, Phys. Rev. Lett. 108, 248001 (2012).
  11. M. Benyamine, M. Djermane, B. Dalloz-Dubrujeaud, and P. Aussillous, Discharge flow of a bidisperse granular media from a silo, Phys. Rev. E 90, 032201 (2014).
  12. Y. Zhou, P. Ruyer, and P. Aussillous, Discharge flow of a bidisperse granular media from a silo: Discrete particle simulations, Phys. Rev. E 92, 062204 (2015).
  13. R. A. Altenkirch and R. Eichhorn, Effect of fluid drag on low Reynolds number discharge of solids from a circular orifice, AIChE J. 27, 593 (1981).
  14. B. J. Crewdson, A. L. Ormond, and R. M. Nedderman, Air-impeded discharge of fine particles from a hopper, Powder Technol. 16, 197 (1977).
  15. S.-S. Hsiau, C.-C. Hsu, and J. Smid, The discharge of fine silica sands in a silo, Phys. Fluids 22, 043306 (2010).
  16. J. E. Hilton and P. W. Cleary, Granular flow during hopper discharge, Phys. Rev. E 84, 011307 (2011).
  17. J. A. H. de Jong, Vertical air-controlled particle flow from a bunker through circular orifices, Powder Technol. 3, 279 (1969).
  18. J. A. H. de Jong and Q. E. J. J. M. Hoelen, Cocurrent gas and particle flow during pneumatic discharge from a bunker through an orifice, Powder Technol. 12, 201 (1975).
  19. R. M. Nedderman, U. Tūzūn, and R. B. Thorpe, The effect of interstitial air pressure gradients on the discharge from bins, Powder Technol. 35, 69 (1983).
  20. Y. Forterre and O. Pouliquen, Flows of dense granular media, Annu. Rev. Fluid Mech. 40, 1 (2008).
  21. R. Jackson, The Dynamics of Fluidized Particles (Cambridge University Press, Cambridge, 2000).
  22. S. Whitaker, The Forchheimer equation: A theoretical development, Transp. Porous Med. 25, 27 (1996).
  23. J. L. Lage, The fundamental theory of flow through permeable media from Darcy to turbulence, in Transport Phenomena in Porous Media, edited by Derek B. Ingham and Iaon Pop (Pergamon, Oxford, 1998), pp. 1–30.
  24. S. Ergun, Fluid flow through packed columns, Chem. Eng. Prog. 48, 89 (1952).
  25. G. D. R. Midi, On dense granular flows, Eur. Phys. J. E 14, 341 (2004).
  26. D. A. Nield and A. Bejan, Convection in Porous Media (Springer, New York, 2006).
  27. L. Staron, P.-Y. Lagrée, and S. Popinet, The granular silo as a continuum plastic flow: The hour-glass vs the clepsydra, Phys. Fluids 24, 103301 (2012).
  28. S. Popinet, Basilisk C reference manual, http://basilisk.fr/Basilisk C (unpublished).
  29. Poisson-Helmholtz equation solver, http://basilisk.fr/src/poisson.h#multigrid-poissonhelmholtz-solvers (unpublished).
  30. S. Popinet, A quadtree-adaptive multigrid solver for the Serre-Green-Naghdi equations, J. Comput. Phys. 302, 336 (2015).
  31. S. M. Rubio-Largo, A. Janda, D. Maza, I. Zuriguel, and R. C. Hidalgo, Disentangling the Free-Fall Arch Paradox in Silo Discharge, Phys. Rev. Lett. 114, 238002 (2015).

Outline

Information

Phys. Rev. Fluids 4, 124305– Published 18 December, 2019
  • Received 15 February 2019
Crossmark - Check for updates button

©2019 American Physical Society

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation